7656712848 has 240 divisors, whose sum is σ = 22521058560. Its totient is φ = 2426609664.

The previous prime is 7656712831. The next prime is 7656712859. The reversal of 7656712848 is 8482176567.

7656712848 is a `hidden beast` number, since 76 + 567 + 1 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×7656712848² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7656712794 and 7656712803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70245018 + ... + 70245126.

It is an arithmetic number, because the mean of its divisors is an integer number (93837744).

Almost surely, 2^7656712848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7656712848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260529280).

7656712848 is an abundant number, since it is smaller than the sum of its proper divisors (14864345712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7656712848 is a wasteful number, since it uses less digits than its factorization.

7656712848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 7656712848 is about 87502.6448057429. The cubic root of 7656712848 is about 1970.9735066677.

The spelling of 7656712848 in words is "seven billion, six hundred fifty-six million, seven hundred twelve thousand, eight hundred forty-eight".